Geometry PreTest
solutions are highlighted and in green
1. At what points do the following curves intersect: y = x2
+ x -2 and y -
7x 5 = 0.
a) (-1,-2) and
(7,7) b) (-1,-2) and ( 7,54) c) (7,54) and (1,-1) d) they dont intersect
2. What is the distance between the points
(7,9) and (2,-3) ?
a)
17 b) 13 c)
5 d) 10
3. Where is the center of the circle whose equation is x2
10x + y2
+ 8y = 8 ?
a)
(0,0)
b) (7,0) c)
(-5,4) d) (5,-4)
4.
What is the radius of the circle from Problem #3?
a)
49 b) 7 c) 8 d)
10
5.
A portion of the
arc of a circle has a central angle of 10
degrees and a radius of 8 units. How long is the arc?
a)
80 b)
16 π c) 8π d) 4π/9
6. What angle
with the positive x axis does the following line make: y x
= 9 ?
a) 10 degrees b) 45 degrees c) 60
degrees d) 30 degrees
7. What is the equation of the straight line through the points (3,2)
and ( 15, 8)?
a)
y = -6x + 1
b) y = 2x + 6 c) 2y = x + 1 d) y = 2x -4
8. Where is the vertex of the following parabola?
8y x2 10x = 1
a)
the origin b) (0,1/8)
c) (5, 3) d) (-5,-3)
9.
What conic
section is described by the following equation
x2 + 19y + 8x 4y2 = 1
a) parabola b) circle
c) hyperbola d) ellipse
10. What conic
section is described by the following equation
y2 + 8y
-8x + 4x2 + 1 = 0
a) parabola b) circle
c) hyperbola d) ellipse